Error bounds on analytic Koopman-based Lyapunov functions
Fuente:
arXiv
Saved in:
| Main Authors: | Bierwart, François-Grégoire, Mauroy, Alexandre |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
RKHS method for computing Koopman-based Lyapunov functions
by: Bierwart, François-Grégoire, et al.
Published: (2026)
by: Bierwart, François-Grégoire, et al.
Published: (2026)
A numerical Koopman-based framework to estimate regions of attraction for general vector fields
by: Bierwart, François-Grégoire, et al.
Published: (2026)
by: Bierwart, François-Grégoire, et al.
Published: (2026)
Global Linearization of Parameterized Nonlinear Systems with Stable Equilibrium Point Using the Koopman Operator
by: Katayama, Natsuki, et al.
Published: (2026)
by: Katayama, Natsuki, et al.
Published: (2026)
On Koopman Resolvents and Frequency Response of Nonlinear Systems
by: Susuki, Yoshihiko, et al.
Published: (2026)
by: Susuki, Yoshihiko, et al.
Published: (2026)
Analytic Extended Dynamic Mode Decomposition
by: Mauroy, Alexandre, et al.
Published: (2024)
by: Mauroy, Alexandre, et al.
Published: (2024)
Approximation of the Koopman operator via Bernstein polynomials
by: Yadav, Rishikesh, et al.
Published: (2024)
by: Yadav, Rishikesh, et al.
Published: (2024)
Koopman operator based identification of nonlinear networks
by: Anantharaman, Ramachandran, et al.
Published: (2024)
by: Anantharaman, Ramachandran, et al.
Published: (2024)
Uniform global stability of switched nonlinear systems in the Koopman operator framework
by: Zagabe, Christian Mugisho, et al.
Published: (2023)
by: Zagabe, Christian Mugisho, et al.
Published: (2023)
Kick synchronization versus diffusive synchronization
by: Mauroy, Alexandre, et al.
Published: (2012)
by: Mauroy, Alexandre, et al.
Published: (2012)
Koopman Operator in the Weighted Function Spaces and its Learning for the Estimation of Lyapunov and Zubov Functions
by: Tang, Wentao
Published: (2024)
by: Tang, Wentao
Published: (2024)
Kernel Methods for the Construction of Certified Lyapunov Functions via Approximate Koopman Eigenfunctions
by: Giesl, P., et al.
Published: (2026)
by: Giesl, P., et al.
Published: (2026)
Continuity of Lyapunov exponents for C^r one-dimensional maps
by: Delplanque, Alexandre, et al.
Published: (2025)
by: Delplanque, Alexandre, et al.
Published: (2025)
Universal bound on the Lyapunov spectrum of quantum master equations
by: Muratore-Ginanneschi, Paolo, et al.
Published: (2025)
by: Muratore-Ginanneschi, Paolo, et al.
Published: (2025)
New functionalities in MatCont: delay equations and Lyapunov exponents
by: Liessi, Davide, et al.
Published: (2025)
by: Liessi, Davide, et al.
Published: (2025)
A Lyapunov function for a Synchronisation diffeomorphism of three clocks
by: Buescu, Jorge, et al.
Published: (2025)
by: Buescu, Jorge, et al.
Published: (2025)
Strong Lyapunov functions for rough systems
by: Duc, Luu Hoang, et al.
Published: (2025)
by: Duc, Luu Hoang, et al.
Published: (2025)
Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models
by: Haseli, Masih, et al.
Published: (2023)
by: Haseli, Masih, et al.
Published: (2023)
Local Lyapunov analysis via micro-ensembles: finite-time Lyapunov exponent estimation and KNN-based predictive comparison in complex-valued BAM neural networks
by: Muruganantham, Yazhini, et al.
Published: (2025)
by: Muruganantham, Yazhini, et al.
Published: (2025)
Lyapunov functions for Morse-Smale synchronisation diffeomorphisms
by: Buescu, Jorge, et al.
Published: (2025)
by: Buescu, Jorge, et al.
Published: (2025)
Data-driven approximation of Koopman operators and generators: Convergence rates and error bounds
by: Llamazares-Elias, Liam, et al.
Published: (2024)
by: Llamazares-Elias, Liam, et al.
Published: (2024)
Hybrid Lyapunov-based feedback stabilization of bipedal locomotion based on reference spreading
by: Bertollo, Riccardo, et al.
Published: (2024)
by: Bertollo, Riccardo, et al.
Published: (2024)
Effects of Internal Resonance and Damping on Koopman Modes
by: Das, Rahul, et al.
Published: (2024)
by: Das, Rahul, et al.
Published: (2024)
Shaping the Koopman dictionary by learning on the Grassmannian
by: Schurig, Roland, et al.
Published: (2025)
by: Schurig, Roland, et al.
Published: (2025)
Koopman Spectral Analysis from Noisy Measurements based on Bayesian Learning and Kalman Smoothing
by: Zeng, Zhexuan, et al.
Published: (2024)
by: Zeng, Zhexuan, et al.
Published: (2024)
Flow primitives and infinitesimal generators of Perron-Frobenius and Koopman operators
by: Tallapragada, Phanindra
Published: (2025)
by: Tallapragada, Phanindra
Published: (2025)
Adjoint-based Hopf-bifurcation Instability Suppression via First Lyapunov Coefficient
by: He, Sicheng, et al.
Published: (2025)
by: He, Sicheng, et al.
Published: (2025)
On the lattice property of the Koopman operator spectrum
by: Bramburger, Jason J.
Published: (2025)
by: Bramburger, Jason J.
Published: (2025)
Regularity of Lyapunov exponents at one-point Lyapunov spectra: the semisimple case
by: Liu, Yingjian, et al.
Published: (2026)
by: Liu, Yingjian, et al.
Published: (2026)
Learning Koopman-based Stability Certificates for Unknown Nonlinear Systems
by: Zhou, Ruikun, et al.
Published: (2024)
by: Zhou, Ruikun, et al.
Published: (2024)
Koopman Generator Decomposition for Port-Hamiltonian System
by: Preciado, Victor M.
Published: (2026)
by: Preciado, Victor M.
Published: (2026)
Koopman Regularization
by: Cohen, Ido
Published: (2024)
by: Cohen, Ido
Published: (2024)
Estimating unknown dynamics and cost as a bilinear system with Koopman-based Inverse Optimal Control
by: Fernandez-Ayala, Victor Nan, et al.
Published: (2025)
by: Fernandez-Ayala, Victor Nan, et al.
Published: (2025)
Maximum-likelihood reprojections for reliable Koopman-based predictions and bifurcation analysis of parametric dynamical systems
by: van Goor, Pieter, et al.
Published: (2025)
by: van Goor, Pieter, et al.
Published: (2025)
Upper bound of transient growth in accelerating and decelerating wall-driven flows using the Lyapunov method
by: Wei, Zhengyang, et al.
Published: (2025)
by: Wei, Zhengyang, et al.
Published: (2025)
Koopman Kernel Regression
by: Bevanda, Petar, et al.
Published: (2023)
by: Bevanda, Petar, et al.
Published: (2023)
Koopman representations for positive definite functions
by: Farhangi, Sohail
Published: (2023)
by: Farhangi, Sohail
Published: (2023)
Physics-informed spectral approximation of Koopman operators
by: Valva, Claire, et al.
Published: (2024)
by: Valva, Claire, et al.
Published: (2024)
The Distributional Koopman Operator for Random Dynamical Systems
by: Oprea, Maria, et al.
Published: (2025)
by: Oprea, Maria, et al.
Published: (2025)
Star flows: a characterization via Lyapunov functions
by: Salgado, Luciana Silva
Published: (2017)
by: Salgado, Luciana Silva
Published: (2017)
Lyapunov Stability for nonautonomous systems on Manifolds
by: Deng, Li, et al.
Published: (2026)
by: Deng, Li, et al.
Published: (2026)
Similar Items
-
RKHS method for computing Koopman-based Lyapunov functions
by: Bierwart, François-Grégoire, et al.
Published: (2026) -
A numerical Koopman-based framework to estimate regions of attraction for general vector fields
by: Bierwart, François-Grégoire, et al.
Published: (2026) -
Global Linearization of Parameterized Nonlinear Systems with Stable Equilibrium Point Using the Koopman Operator
by: Katayama, Natsuki, et al.
Published: (2026) -
On Koopman Resolvents and Frequency Response of Nonlinear Systems
by: Susuki, Yoshihiko, et al.
Published: (2026) -
Analytic Extended Dynamic Mode Decomposition
by: Mauroy, Alexandre, et al.
Published: (2024)